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421418160 = 24335375273
BaseRepresentation
bin11001000111100…
…101010010110000
31002100222021001000
4121013211102300
51330340340120
6105452242000
713304665242
oct3107452260
91070867030
10421418160
111a6974779
12b9170300
1369400377
143dd7c092
1526ee4990
hex191e54b0

421418160 has 160 divisors (see below), whose sum is σ = 1491065280. Its totient is φ = 109320192.

The previous prime is 421418159. The next prime is 421418161. The reversal of 421418160 is 61814124.

It is a happy number.

421418160 is a `hidden beast` number, since 421 + 4 + 181 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (421418159) and next prime (421418161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (421418161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77284 + ... + 82556.

It is an arithmetic number, because the mean of its divisors is an integer number (9319158).

Almost surely, 2421418160 is an apocalyptic number.

421418160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745532640).

421418160 is an abundant number, since it is smaller than the sum of its proper divisors (1069647120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421418160 is a wasteful number, since it uses less digits than its factorization.

421418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 421418160 is about 20528.4719353390. The cubic root of 421418160 is about 749.7291822221.

The spelling of 421418160 in words is "four hundred twenty-one million, four hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5273 5328 6660 7992 8880 9990 10546 13320 15819 15984 19980 21092 26365 26640 31638 39960 42184 47457 52730 63276 79095 79920 84368 94914 105460 126552 142371 158190 189828 195101 210920 237285 253104 284742 316380 379656 390202 421840 474570 569484 585303 632760 711855 759312 780404 949140 975505 1138968 1170606 1265520 1423710 1560808 1755909 1898280 1951010 2277936 2341212 2847420 2926515 3121616 3511818 3796560 3902020 4682424 5267727 5694840 5853030 7023636 7804040 8779545 9364848 10535454 11389680 11706060 14047272 15608080 17559090 21070908 23412120 26338635 28094544 35118180 42141816 46824240 52677270 70236360 84283632 105354540 140472720 210709080 421418160